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Finding the Fourth Proportional to 22,900.88, 31,602.93 and 12,829.14

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Solution

The fourth proportional to 22,900.88, 31,602.93 and 12,829.14 is: 17,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900.88 : 31,602.93 = 12,829.14 : x
  2. Step 2: Convert to fraction form
    22,900.88/31,602.93 = 12,829.14/x
  3. Step 3: Cross multiply
    22,900.88x = 31,602.93 × 12,829.14
  4. Step 4: Simplify right side
    22,900.88x = 405,438,365.27
  5. Step 5: Solve for x
    x = 405,438,365.27/22,900.88
  6. Step 6: Final answer
    x = 17,704.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.